Project ForgeEngineering Mathematics
Calculus
GATE 2008
Easy
The value of lim(x→8) [x^(1/3) - 2]/(x-8) is
- A1/16
- 1/12
- C1/8
- D1/4
Explanation
This limit is exactly the derivative of f(x)=x^(1/3) at x=8: f'(x)=(1/3)x^(-2/3), so f'(8)=(1/3)(1/4)=1/12.
Source: GATE ME 2008 (2008)
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